The average marks obtained by 19 boys of a college is 48. If the highest marks and lowest marks obtained are removed, then the average is reduced by 4. What is the average of the highest and lowest marks obtained?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 82.
Average = Sum of the total marks/total students
The average marks obtained by 19 boys in a college = 48
The sum of the total marks of 19 boys= 48 × 19 = 912
the highest marks and lowest marks obtained are removed, then the average is reduced by 4
So, the average of the 17 students = 48 - 4 = 44
The sum of the total marks of 17 students = 44 × 17 = 748
So, the average of the highest and lowest marks = (912 - 748)/2 = 82